AP® Calculus AB-BC

Spread of a Virus

APCALC-TDNVCV

A virus spreads among a population of $1000$ people at a rate directly proportional to $1000-N(t)$, where $t$ represents the time in months and $N(t)$ represents the number of people infected after $t$ months. When $t=0$ months, there were $5$ people infected with the virus, and $2$ months later there were $20$ people infected.